Disjoint Sets
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Function as a machine A function can also be regarded as a machine that gives unique output in set B corresponding to each input from the set A just as the function ‘machine’ shown in Fig. 2(b). Which generate an output y = 2×3 + 5 for each input x. Fig. 2(b) Usually real…
Quasi-static process A process during which the system remains nearly close to an equilibrium state is called Quasistatic process. In other words departure of the state of a system from Thermodynamic Equilibrium state will be Infinitesimally small. Quasi-static process Consider a system as shown in figure the system initially is in equilibrium state as weights…
Introduction about thermodynamics Energy is the capacity to do work energy cannot be created or destroyed but only can be changed into other forms (principle of conservation of energy). Thermodynamics mainly deals with interaction between heat and work (mechanical energy) and change in the property is associated with these interactions. The interaction between heat and…
Universal set In any discussion in set theory, there always happens to be a set that contains all sets under consideration i.e. it is a super set of each of the given sets. Such a set is called the universal set and is denoted by U. Thus a set that contains all sets in a…
Symmetry difference of sets Let A and B be two sets. The symmetry difference of sets A and B is the set (A-B) ∪ (B-A) and it is denoted by A ∆ B. Then A∆B=(A-B) ∪ (B-A) = {x : x ∉ A ∩ B}. In Fig 9 shaded region represents A∆B Fig (9) Example…
State, path and process State A state is condition of system and is specified by its properties. At a given state all the properties of a system have definite values Path Change of state of a system is the consequence of any operation in which properties will change. The series of states through which system…